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The Commutators of Fractional Integrals on Besov Spaces 被引量：1

The Commutators of Fractional Integrals on Besov Spaces
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摘要 In this paper we consider the commutators of fractional integrals In this paper we consider the commutators of fractional integrals
作者 WenGuCHEN ShanZhenLU
机构地区 InstituteofAppliedPhysicsandComputationalMathematics DepartmentofMathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第3期405-414,共10页 数学学报（英文版）
基金 supported by NNSF of China (Nos.19901021,10371080) Beijing Natural Science Foundation(No. 1013006) Scientific Research Foundation for Returned Overseas Chinese Scholars supported by the National 973 project (G19990751)
关键词 COMMUTATOR Paraproduct Besov space Commutator Paraproduct Besov space
分类号 O175.5 [理学—基础数学]
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参考文献12

  • 1Chanillo, S.: A note on commutators. Indiana Univ. Math. J., 31, 7-16 (1982).
  • 2Paluszyfiski, M.: Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss. Indiana Univ. Math. J., 44, 1-17 (1995).
  • 3Janson, S., Peetre, J.: Paracommutators-boundedness and Schatten-von Neumann properties. Trans.Amer. Math. Soc., 305,467-504 (1988).
  • 4Li, C., McIntosh, A., Zhang, K., Wu, Z.: Compensated compactness, paracommutators, and Hardy spaces.J. Funct. Anal., 150,289-306 (1997).
  • 5Peng, L.: On the compactness of paracommutators. Ark. Mat., 26, 315-325 (1988).
  • 6Bloom, S.: A commutators theorem and weighted BMO. Trans. Amer. Math. Soc., 292, 103-122 (1985).
  • 7Garcia Cuerva, J., Harboure, E., Segovia, C., Torre, J.: Weighted norm inequalities for commutators of strongly singular integrals. Indiana Univ. Math. J., 40, 1397-1420 (1991).
  • 8Frazier, M., Jawerth, B.: A discrete transform and applications to distribution spaces. J. Funct. Anal., 93,34-170 (1990).
  • 9Triebel, H.: Theory of function spaces II, Birkhauser, Basel-Boston-Berlin 1992.
  • 10Strichartz. R.: Bounded mean oscillations and Sobolev soaces. Indiana Univ. Math. J., 29, 539-558 (1980).

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Acta Mathematica Sinica,English Series
2004年 第3期

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